Sequences

Triangle of coefficients in expansion of (1+4x)^n.

Triangle of coefficients in expansion of (1+5x)^n.

Triangle of coefficients in expansion of (1+6x)^n.

Triangle of coefficients in expansion of (1+7x)^n.

Triangle of coefficients in expansion of (1+8x)^n.

Triangle of coefficients in expansion of (1+9x)^n.

Triangle of coefficients in expansion of (1+10x)^n.

Triangle of coefficients in expansion of (1+11x)^n.

Triangle of coefficients in expansion of (1+12x)^n.

Triangle of coefficients in expansion of (2+3x)^n.

Triangle of coefficients in expansion of (2+5x)^n.

Triangle of coefficients in expansion of (3+5x)^n.

Triangle of coefficients in expansion of (2 + 7*x)^n.

Triangle of coefficients in expansion of (3+7x)^n.

Triangle of coefficients in expansion of (4+7x)^n.

Triangle of coefficients in expansion of (5+7x)^n.

Triangle of coefficients in expansion of (6+7x)^n.

Triangle of coefficients in expansion of (4 + 5*x)^n.

Floor of imaginary parts of nontrivial zeros of Riemann zeta function.

Irregular triangle read by rows, giving coefficients of polynomials arising as numerators of certain Hilbert series.

Continued fraction for zeta(3).

Difference between n and the next prime greater than n.

nextprime(n) - prevprime(n).

a(n) = nextprime(n) + n.

a(n) = prevprime(n) + n.

a(n) = n*nextprime(n).

n*prevprime(n).

a(n) = prevprime(n)*nextprime(n).

Brund-Steinmetz permutations.

f-vector for 20-dimensional simplicial polytope providing counterexample to unimodality conjecture.

f-vector for simplicial polytope providing counterexample to unimodality conjecture.

Numbers k such that the continued fraction for sqrt(k) has period 2.

Numbers k such that the continued fraction for sqrt(k) has period 3.

Numbers k such that the continued fraction for sqrt(k) has period 4.

Values of k at which the period of the continued fraction for sqrt(k) sets a new record.

Least m such that the continued fraction for sqrt(m) has period n.

Numbers k such that the period of the continued fraction for sqrt(k) contains no 1's.

Numbers k such that the periodic part of the continued fraction for sqrt(k) contains a single 1.

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly two 1's.

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.

Numbers k such that the period of the continued fraction for sqrt(k) contains at least two 1's.

Numbers k such that the period of the continued fraction for sqrt(k) contains at least three 1's.

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly two 1's and they are not consecutive.

Positive nonsquare integers k such that each term of the regular continued fraction of sqrt(k) divides k.

a(n) = F(n+1) + L(n), where F(n) and L(n) are Fibonacci and Lucas numbers, respectively.

a(n) = n*(9*n-2).

Period of continued fraction for sqrt(n) contains more than one 1, but no two consecutive 1's.

Discriminants of imaginary quadratic fields with class number 4 (negated).

Initialized continued fraction for sqrt(n-th nonsquare) has period (1,a(n)).

Number of elementary catastrophes on n-dimensional manifold (the next term is infinite).